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Finding the Fourth Proportional to 705.30, 1,056.94 and 618.43

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Solution

The fourth proportional to 705.30, 1,056.94 and 618.43 is: 926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 1,056.94 = 618.43 : x
  2. Step 2: Convert to fraction form
    705.30/1,056.94 = 618.43/x
  3. Step 3: Cross multiply
    705.30x = 1,056.94 × 618.43
  4. Step 4: Simplify right side
    705.30x = 653,643.40
  5. Step 5: Solve for x
    x = 653,643.40/705.30
  6. Step 6: Final answer
    x = 926.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.